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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 102 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Diya thinks of a number, multiplies it by 9 and then adds 12. The result is 93. What is the number?
  2. 2.Solve: 8t − 25 = 31. What is t?
  3. 3.Solve: 5t − 18 = 37. What is t?
  4. 4.Solve: 2(m + 7) = 16. What is m?
  5. 5.Solve: 3(m + 3) = 24. What is m?
  6. 6.Solve: m/3 + 8 = 11. What is m?
  7. 7.Solve: 4m + 27 = 79. What is m?
  8. 8.Diya thinks of a number, multiplies it by 3 and then adds 10. The result is 25. What is the number?
  9. 9.Farhan thinks of a number, multiplies it by 8 and then adds 29. The result is 125. What is the number?
  10. 10.Solve: n/6 + 14 = 22. What is n?
  11. 11.Solve: 5(p + 9) = 65. What is p?
  12. 12.Solve: 6(y + 4) = 84. What is y?
  13. 13.Sneha’s mother is twice as old as Sneha. Their ages add up to 36 years. How old is Sneha?
  14. 14.Solve: 9(p + 9) = 135. What is p?
  15. 15.Joseph’s mother is four times as old as Joseph. Their ages add up to 40 years. How old is Joseph?
  16. 16.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 45 years. How old is Vivaan?
  17. 17.Solve: y/8 + 8 = 18. What is y?
  18. 18.Solve: 7x − 62 = 22. What is x?
  19. 19.Solve: 4p + 13 = 37. What is p?
  20. 20.Solve: 8n − 9 = 7. What is n?
  21. 21.Solve: 7(p + 1) = 70. What is p?
  22. 22.Vivaan thinks of a number, multiplies it by 5 and then adds 18. The result is 58. What is the number?
  23. 23.Solve: 2x + 9 = 15. What is x?
  24. 24.Solve: n/8 + 19 = 30. What is n?
  25. 25.Solve: 3(x + 6) = 39. What is x?
  26. 26.Nisha is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Vivaan thinks of a number, multiplies it by 4 and then adds 2. The result is 30. What is the number?
  28. 28.Solve: 6m − 58 = 14. What is m?
  29. 29.Manav thinks of a number, multiplies it by 5 and then adds 7. The result is 12. What is the number?
  30. 30.Solve: y/3 + 6 = 12. What is y?
  31. 31.Solve: 2x − 26 = 4. What is x?
  32. 32.Solve: 4(y + 7) = 48. What is y?
  33. 33.Solve: 8t + 29 = 117. What is t?
  34. 34.Solve: 7y − 9 = 19. What is y?
  35. 35.Arjun is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  36. 36.Solve: 6(n + 4) = 78. What is n?
  37. 37.Solve: 4(n + 5) = 32. What is n?
  38. 38.Riya thinks of a number, multiplies it by 2 and then adds 15. The result is 21. What is the number?
  39. 39.Solve: 7x − 2 = 68. What is x?
  40. 40.Lakshmi thinks of a number, multiplies it by 3 and then adds 27. The result is 45. What is the number?

Answer key

  1. 9
  2. 7
  3. 11
  4. 1
  5. 5
  6. 9
  7. 13
  8. 5
  9. 12
  10. 48
  11. 4
  12. 10
  13. 12
  14. 6
  15. 8
  16. 15
  17. 80
  18. 12
  19. 6
  20. 2
  21. 9
  22. 8
  23. 3
  24. 88
  25. 7
  26. 6
  27. 7
  28. 12
  29. 1
  30. 18
  31. 15
  32. 5
  33. 11
  34. 4
  35. 15
  36. 9
  37. 3
  38. 3
  39. 10
  40. 6

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